Answer:
slope = 3, y- intercept = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (- 1, - 5)
m = [tex]\frac{-5-7}{-1-3}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3, thus
y = 3x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (3, 7), then
7 = 9 + c ⇒ c = 7 - 9 = - 2
y = 3x - 2 ← equation of line
with slope m = 3 and y- intercept c = - 2
